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Finding the Fourth Proportional to 634.24, 951.28 and 269.12

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Solution

The fourth proportional to 634.24, 951.28 and 269.12 is: 403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.24 : 951.28 = 269.12 : x
  2. Step 2: Convert to fraction form
    634.24/951.28 = 269.12/x
  3. Step 3: Cross multiply
    634.24x = 951.28 × 269.12
  4. Step 4: Simplify right side
    634.24x = 256,005.33
  5. Step 5: Solve for x
    x = 256,005.33/634.24
  6. Step 6: Final answer
    x = 403.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.